TY - JOUR
T1 - Location of Zeros for the Weak Solution to a $p$-Ginzburg-Landau Problem
AU - Zhan , Desheng
JO - Communications in Mathematical Research 
VL - 4
SP - 363
EP - 370
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.04.09
UR - https://global-sci.org/intro/article_detail/cmr/13511.html
KW - $p$-Ginzburg-Landau equation, initial-boundary value problem, location
of zero
AB - <p style="text-align: justify;">This paper is concerned with the asymptotic behavior of the solution $u_\varepsilon$
of a $p$-Ginzburg-Landau system with the radial initial-boundary data. The author
proves that the zeros of $u_\varepsilon$ in the parabolic domain $B_1(0)\times (0,\,T]$&nbsp;locate near the
axial line $\{0\}\times(0,\,T]$. In particular, all the zeros converge to this axial line when the
parameter $\varepsilon$ goes to zero.</p>